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arXiv · 2101.01681

On the BPS spectrum of 5d SU(2) super-Yang-Mills

Pietro Longhi
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Abstract

We provide a closed-form expression for the motivic Kontsevich-Soibelman invariant for M-theory in the background of the toric Calabi-Yau threefold $K_{\mathbb{F}_0}$. This encodes the refined BPS spectrum of $SU(2)$ 5d ${\cal N}=1$ Yang-Mills theory on $S^1\times \mathbb{R}^4$, corresponding to rank-zero Donaldson-Thomas invariants for $K_{\mathbb{F}_0}$, anywhere on the Coulomb branch.

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Pietro Longhi. 2021-01-08. On the BPS spectrum of 5d SU(2) super-Yang-Mills. https://doi.org/10.1103/physrevlett.126.211601

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